29729821680
29,729,821,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 29729821680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
29729821680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 29729821680:
24 × 32 × 5 × 13 × 17 × 257 × 727
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 257 × 727)See below for interesting mathematical facts about the number 29729821680 from the Numbermatics database.
Names of 29729821680
- Cardinal: 29729821680 can be written as Twenty-nine billion, seven hundred twenty-nine million, eight hundred twenty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 2.972982168 × 1010
Factors of 29729821680
Divisors of 29729821680
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 34 36 39 40 45 48 51 52 60 65 68 72 78 80 85 90 102 104 117 120 130 136 144 153 156 170 180 195 204 208 221 234 240 255 257 260 272 306 312 340 360 390 408 442 468 510 514 520 585 612 624 663 680 720 727 765 771 780 816 884 936 1020 1028 1040 1105 1170 1224 1285 1326 1360 1454 1530 1542 1560 1768 1872 1989 2040 2056 2181 2210 2313 2340 2448 2570 2652 2908 3060 3084 3120 3315 3341 3536 3635 3855 3978 4080 4112 4362 4369 4420 4626 4680 5140 5304 5816 6120 6168 6543 6630 6682 7270 7710 7956 8724 8738 8840 9252 9360 9451 9945 10023 10280 10608 10905 11565 11632 12240 12336 12359 13086 13107 13260 13364 14540 15420 15912 16705 17448 17476 17680 18504 18902 19890 20046 20560 21810 21845 23130 24718 26172 26214 26520 26728 28353 29080 30069 30840 31824 32715 33410 34896 34952 37008 37077 37804 39321 39780 40092 43620 43690 46260 47255 49436 50115 52344 52428 53040 53456 56706 56797 58160 60138 61680 61795 65430 65535 66820 69904 74154 75608 78642 79560 80184 85059 87240 87380 92520 94510 98872 100230 104688 104856 111231 113412 113594 120276 123590 130860 131070 133640 141765 148308 150345 151216 157284 159120 160368 160667 170118 170391 174480 174760 185040 185385 186839 189020 196605 197744 200460 209712 222462 226824 227188 240552 247180 261720 262140 267280 283530 283985 296616 300690 314568 321334 340236 340782 349520 370770 373678 378040 393210 400920 425295 444924 453648 454376 481104 482001 494360 511173 523440 524280 556155 560517 567060 567970 593232 601380 629136 642668 680472 681564 741540 747356 756080 786420 801840 803335 850590 851955 889848 908752 934195 964002 988720 1022346 1048560 1112310 1121034 1134120 1135940 1202760 1285336 1360944 1363128 1446003 1483080 1494712 1572840 1606670 1681551 1701180 1703910 1779696 1868390 1928004 2044692 2224620 2242068 2268240 2271880 2405520 2410005 2428907 2555865 2570672 2726256 2802585 2892006 2966160 2989424 3145680 3176263 3213340 3363102 3402360 3407820 3736780 3856008 4089384 4449240 4484136 4543760 4820010 4857814 5111730 5605170 5784012 6352526 6426680 6726204 6804720 6815640 7230015 7286721 7473560 7712016 8178768 8407755 8898480 8968272 9528789 9640020 9715628 10223460 11210340 11568024 12144535 12705052 12853360 13452408 13631280 14460030 14573442 14947120 15881315 16815510 19057578 19280040 19431256 20446920 21860163 22420680 23136048 24289070 25410104 26904816 28586367 28920060 29146884 31762630 33631020 36433605 38115156 38560080 38862512 40893840 41291419 43720326 44841360 47643945 48578140 50820208 57172734 57840120 58293768 63525260 67262040 72867210 76230312 82582838 87440652 95287890 97156280 109300815 114345468 115680240 116587536 123874257 127050520 134524080 142931835 145734420 152460624 165165676 174881304 190575780 194312560 206457095 218601630 228690936 247748514 254101040 285863670 291468840 330331352 349762608 371622771 381151560 412914190 437203260 457381872 495497028 571727340 582937680 619371285 660662704 743245542 762303120 825828380 874406520 990994056 1143454680 1238742570 1486491084 1651656760 1748813040 1858113855 1981988112 2286909360 2477485140 2972982168 3303313520 3716227710 4954970280 5945964336 7432455420 9909940560 14864910840 29729821680
- Sum of all divisors σ(n): 114447924864
- Sum of proper divisors (its aliquot sum) s(n): 84718103184
- 29729821680 is an abundant number, because the sum of its proper divisors (84718103184) is greater than itself. Its abundance is 54988281504
Bases of 29729821680
- Binary: 110111011000000100100010011111100002
- Hexadecimal: 0x6EC0913F0
- Base-36: DNOD980
Squares and roots of 29729821680
- 29729821680 squared (297298216802) is 883862297124598022400
- 29729821680 cubed (297298216803) is 26277068483189475947632645632000
-
The
square root of 29729821680 is 172423.3791572359 -
The
cube root of 29729821680 is 3097.8765089797
Scales and comparisons
How big is 29729821680?- 29,729,821,680 seconds is equal to 945 years, 16 weeks, 3 days, 3 hours, 48 minutes.
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To count from 1 to 29,729,821,680 would take you about one thousand, eight hundred ninety years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 29729821680 cubic inches would be around 258.2 feet tall.
Recreational maths with 29729821680
- 29729821680 backwards is 08612892792
- The number of decimal digits it has is: 11
- The sum of 29729821680's digits is 54
- More coming soon!
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